Vector Addition (Edexcel AS Maths): Revision Note
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Vector Addition
Vector addition
Adding vectors together lets us describes the movement between two points
The single vector this creates is called the resultant vector
Subtracting a vector is the same as adding the negative vector
Adding the vectors PQ and QP gives the zero vector, denoted by a bold zero 0
![Vector Addition Diagram 1a, AS & A Level Maths revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/07/11.1.3-Vector-Addition-Diagram-1a.png)
You can add and subtract vectors in any of the forms previously described:
![Vector Addition Diagram 1b, AS & A Level Maths revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/07/11.1.3-Vector-Addition-Diagram-1b.png)
Scalars and parallel vectors
Multiplying by a positive scalar only changes the size of a vector, not its direction
Two vectors are parallel if and only if one is a scalar multiple of the other
![Vector Addition Diagram 2, AS & A Level Maths revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/07/11.1.3-Vector-Addition-Diagram-2.png)
Examiner Tips and Tricks
Think of vectors like a journey from one place to another – you may have to take a detour eg. A to B might be A to O then O to B.
Diagrams can help, so if there isn’t one, draw one. If there are any, labelling parallel vectors will help.
Worked Example
![Vector Addition Example Solution, AS & A Level Maths revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/07/11.1.3-Vector-Addition-Example-Solution.png)
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